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EE3900 Computer Networks Data Encoding Slide 1

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Title: EE3900 Computer Networks Data Encoding Slide 1


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Digital Data, Digital Signal
  • Digital signal
  • Discrete, discontinuous voltage pulses
  • Each pulse is a signal element
  • Binary data encoded into signal elements
  • Unipolar - all signal elements have same sign
  • Polar - one logic state represented by ve
    voltage the other by -ve voltage
  • Data rate - rate of output data in bits per
    second
  • Duration or length of a bit
  • Time taken for transmitter to emit the bit

3
Interpreting Signals
  • Modulation rate
  • Rate at which the signal level changes
  • Measured in baud signal elements per second
  • Mark and Space
  • Binary 1 and Binary 0 respectively
  • Need to know
  • Timing of bits when they start and end, signal
    levels
  • Factors affecting successful interpreting of
    signals
  • Signal to noise ratio, data rate, bandwidth

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Comparison of Encoding Schemes (1)
  • Signal Spectrum
  • Lack of high freq reduces required bandwidth
  • Lack of dc component allows ac coupling via
    transformer, providing isolation
  • Concentrate power in the middle of the bandwidth
  • Clocking
  • Synchronizing transmitter and receiver
  • External clock
  • Sync mechanism based on signal

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Comparison of Encoding Schemes (2)
  • Error detection
  • Can be built in to signal encoding
  • Signal interference and noise immunity
  • Some codes are better than others
  • Cost and complexity
  • Higher signal rate ( thus data rate) requires
    higher costs
  • Some codes require signal rate greater than data
    rate

7
Encoding Schemes
  • Nonreturn to Zero-Level (NRZ-L)
  • Nonreturn to Zero Inverted (NRZI)
  • Bipolar -AMI
  • Pseudoternary
  • Manchester
  • Differential Manchester
  • B8ZS
  • HDB3

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Nonreturn to Zero-Level (NRZ-L)
  • Two different voltages for 0 and 1 bits
  • Voltage constant during bit interval
  • no transition i.e. no return to zero voltage
  • e.g. absence of voltage for zero, constant
    positive voltage for one
  • More often, negative voltage for one value and
    positive for the other
  • This is NRZ-L

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Nonreturn to Zero Inverted
  • Nonreturn to zero inverted on ones
  • Constant voltage pulse for duration of bit
  • Data encoded as presence or absence of signal
    transition at beginning of bit time
  • Transition (low to high or high to low) denotes a
    binary 1
  • No transition denotes binary 0
  • An example of differential encoding
  • Data represented by changes rather than levels
  • More reliable detection of transition rather than
    level

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NRZ
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Differential Encoding
  • Data represented by changes rather than levels
  • More reliable detection of transition rather than
    level
  • In complex transmission layouts, it is easy to
    lose sense of polarity

12
NRZ pros and cons
  • Pros
  • Easy to engineer
  • Make good use of bandwidth
  • Cons
  • dc component
  • Lack of synchronization capability

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Multilevel Binary
  • Use more than two levels
  • Bipolar-AMI
  • zero represented by no line signal
  • one represented by positive or negative pulse
  • one pulses alternate in polarity
  • No loss of sync if a long string of ones (zeros
    still a problem)
  • No net dc component
  • Lower bandwidth
  • Easy error detection

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Pseudoternary
  • One represented by absence of line signal
  • Zero represented by alternating positive and
    negative
  • No advantage or disadvantage over bipolar-AMI

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Bipolar-AMI and Pseudoternary
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Trade Off for Multilevel Binary
  • Not as efficient as NRZ
  • Each signal element only represents one bit
  • In a 3 level system could represent log23 1.58
    bits
  • Receiver must distinguish between three levels
    (A, -A, 0)
  • Requires approx. 3dB more signal power for same
    probability of bit error

17
Biphase
  • Manchester
  • Transition in middle of each bit period
  • Transition serves as clock and data
  • Low to high represents 1, high to low
    represents 0
  • Used by IEEE 802.3, Ethernet
  • Differential Manchester
  • Mid bit transition is clocking only
  • Transition at start of a bit period represents
    zero
  • No transition at start of a bit period represents
    one
  • a differential encoding scheme
  • Used by IEEE 802.5, Token Ring

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Biphase Pros and Cons
  • Con
  • At least one transition per bit time and possibly
    two
  • Maximum modulation rate is twice NRZ
  • Requires more bandwidth
  • Pros
  • Synchronization on mid bit transition (self
    clocking)
  • No dc component
  • Error detection
  • Absence of expected transition

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Modulation Rate
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Scrambling
  • Use scrambling to replace sequences that would
    produce constant voltage
  • Filling sequence
  • Must produce enough transitions to sync
  • Must be recognized by receiver and replace with
    original
  • Same length as original
  • No dc component
  • No long sequences of zero level line signal
  • No reduction in data rate
  • Error detection capability

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B8ZS
  • Bipolar With 8 Zeros Substitution
  • Based on bipolar-AMI
  • If octet of all zeros and last voltage pulse
    preceding was positive encode as 000-0-
  • If octet of all zeros and last voltage pulse
    preceding was negative encode as 000-0-
  • Causes two violations of AMI code
  • Unlikely to occur as a result of noise
  • Receiver detects and interprets as octet of all
    zeros

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HDB3
  • High Density Bipolar 3 Zeros
  • Based on bipolar-AMI
  • String of four zeros replaced with one or two
    pulses
  • Polarity of Preceding pulse No. of Bipolar pulse
    (ones) since last substitution
  • Odd Even
  • - 000- 00
  • 000 -00-

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B8ZS and HDB3
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Digital Data, Analog Signal
  • Public telephone system
  • 300Hz to 3400Hz
  • Use modem (modulator-demodulator)
  • Amplitude shift keying (ASK)
  • Frequency shift keying (FSK)
  • Phase shift keying (PK)

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Modulation Techniques
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Amplitude Shift Keying
  • Values represented by different amplitudes of
    carrier
  • Usually, one amplitude is zero
  • i.e. presence and absence of carrier is used
  • Susceptible to sudden gain changes
  • Inefficient
  • Up to 1200bps on voice grade lines
  • Used over optical fiber

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Frequency Shift Keying
  • Values represented by different frequencies (near
    carrier)
  • Less susceptible to error than ASK
  • Up to 1200bps on voice grade lines
  • High frequency radio
  • Even higher frequency on LANs using co-ax

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FSK on Voice Grade Line
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Phase Shift Keying
  • Phase of carrier signal is shifted to represent
    data
  • Differential PSK
  • Phase shifted relative to previous transmission
    rather than some reference signal

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Quadrature PSK
  • More efficient use by each signal element
    representing more than one bit
  • e.g. shifts of ?/2 (90o)
  • Each element represents two bits
  • Can use 8 phase angles and have more than one
    amplitude
  • 9600bps modem use 12 angles , four of which have
    two amplitudes

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  • This can be further extended, PSK up to 9600 bps
    with 12 phase angle and 4 more with higher
    amplitude, i.e. 16 values, 4-bit, 2400 baud (V.32
    Standard).
  • The modulation rate in bauds, DR/b where R is
    the data rate (bps) and b the number of
    bits/signal.

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Performance of Digital to Analog Modulation
Schemes
  • Bandwidth
  • ASK and PSK bandwidth directly related to bit
    rate
  • FSK bandwidth related to data rate for lower
    frequencies, but to offset of modulated frequency
    from carrier at high frequencies
  • In the presence of noise, bit error rate of PSK
    and QPSK are about 3dB superior to ASK and FSK

41
Analog Data, Digital Signal
  • Digitization
  • Conversion of analog data into digital data
  • Digital data can then be transmitted using NRZ-L
  • Digital data can then be transmitted using code
    other than NRZ-L
  • Digital data can then be converted to analog
    signal
  • Analog to digital conversion done using a codec
  • Pulse code modulation
  • Delta modulation

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Pulse Code Modulation(PCM) (1)
  • If a signal is sampled at regular intervals at a
    rate higher than twice the highest signal
    frequency, the samples contain all the
    information of the original signal
  • (Proof - Stallings appendix 5A)
  • Voice data limited to below 4000Hz
  • Require 8000 sample per second
  • Analog samples (Pulse Amplitude Modulation, PAM)
  • Each sample assigned n-bit digital value

44
Pulse Code Modulation(PCM) (2)
  • 4 bit system gives 16 levels
  • Quantized
  • Quantizing error or noise
  • Approximations mean it is impossible to recover
    original exactly
  • 8 bit sample gives 256 levels
  • Quality comparable with analog transmission
  • 8000 samples per second of 8 bits each gives
    64kbps

45
  • Advantages of Digitization
  • use of statistical multiplexing
  • avoid channel noise problems and signal
    attenuation by regeneration
  • Pulse Code Modulation (PCM)
  • Once quantized, signal can be relayed after
    regeneration over long distance without further
    distortion.
  • In order to decrease quantizing error, companding
    techniques are used to give more quantization
    levels to signal with smaller amplitude.
  • A-Law (European) and u-Law (US, Japan, HK)
    standards available

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Nonlinear Encoding
  • Quantization levels not evenly spaced
  • Reduces overall signal distortion
  • Can also be done by companding

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Analog Data, Analog Signals
  • Modulation - combining input signal m(t) and a
    carrier fc to produce s(t)
  • Modulation are used for analog data
  • higher freq for unguided transmission
  • modulation permits freq-division multiplexing

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  • if m(t) increases, both FM and PM require greater
    bandwidth but the same average power
  • both FM and PM require greater bandwidth than AM
    as m(t) increases, the average power level for AM
    also increases

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Spread Spectrum
  • Analog or digital data
  • Analog signal
  • Spread data over wide bandwidth
  • Makes jamming and interception harder
  • Frequency hoping
  • Signal broadcast over seemingly random series of
    frequencies
  • Direct Sequence
  • Each bit is represented by multiple bits in
    transmitted signal chipping code
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